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Finding the Fourth Proportional to 281.31, 422.19 and 119.11

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Solution

The fourth proportional to 281.31, 422.19 and 119.11 is: 178.75

Step by Step Solution

  1. Step 1: Write the proportion equation
    281.31 : 422.19 = 119.11 : x
  2. Step 2: Convert to fraction form
    281.31/422.19 = 119.11/x
  3. Step 3: Cross multiply
    281.31x = 422.19 × 119.11
  4. Step 4: Simplify right side
    281.31x = 50,284.94
  5. Step 5: Solve for x
    x = 50,284.94/281.31
  6. Step 6: Final answer
    x = 178.75

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.